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Finding the Fourth Proportional to 6,988.47, 10,481.97 and 2,827.23

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Solution

The fourth proportional to 6,988.47, 10,481.97 and 2,827.23 is: 4,240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.47 : 10,481.97 = 2,827.23 : x
  2. Step 2: Convert to fraction form
    6,988.47/10,481.97 = 2,827.23/x
  3. Step 3: Cross multiply
    6,988.47x = 10,481.97 × 2,827.23
  4. Step 4: Simplify right side
    6,988.47x = 29,634,940.04
  5. Step 5: Solve for x
    x = 29,634,940.04/6,988.47
  6. Step 6: Final answer
    x = 4,240.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.